; @origtpdbfilename ./TRS/Rubio/quotminus.trs
; @xtcfilename "./TRS_Standard/Rubio_04/quotminus.xml"
(format TRS)
(fun plus 2)
(fun |0| 0)
(fun s 1)
(fun min 2)
(fun Z 0)
(fun quot 2)
(rule (plus |0| Y) Y)
(rule (plus (s X) Y) (s (plus X Y)))
(rule (min X |0|) X)
(rule (min (s X) (s Y)) (min X Y))
(rule (min (min X Y) Z) (min X (plus Y Z)))
(rule (quot |0| (s Y)) |0|)
(rule (quot (s X) (s Y)) (s (quot (min X Y) (s Y))))